Answer:
Required Probability = 0.97062
Step-by-step explanation:
We are given that the weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4016 grams and a standard deviation of 532 grams.
Let X = weight of the newborn baby, so X ~ N(
)
The standard normal z distribution is given by;
Z =
~ N(0,1)
Now, probability that the weight will be less than 5026 grams = P(X < 5026)
P(X < 5026) = P(
<
) = P(Z < 1.89) = 0.97062
Therefore, the probability that the weight will be less than 5026 grams is 0.97062 .
Answer:
5. y = -x
Step-by-step explanation:
First, you need to find the slope of the line.

Now, using either point substitute into the point-slope form for a line:

Using (-2,2) for
we get y - 2 = -1(x +2)
y - 2 = -x - 2
y = -x
Answer 5 is the correct answer
Answer:
75
Step-by-step explanation:
Sea level is considered 0. To find 75 feet above sea level, we add 75 to 0. This gets us 75. Since 75 is an integer, it checks out.
Answer:
19.08
Step-by-step explanation:
just multiply and round to get 2 decimals
Let x and y be the two unknown numbers. If one number, say x,is 5 more than 3 times another, say y, the equation would be
x = 5 + 3y
When their difference is 35, x-y = 35, since x is the much larger number here. We substitute x to solve for the smaller number, y.
x - y = 35
(5 + 3y) -y = 35
5 +2y = 35
2y = 35-5
2y = 30
y = 15
The larger number x would be
x = 5 + 3(15)
x = 50
The answer is 50.